Lyapunov based small-gain theorem for parameterized discrete-time interconnected ISS systems

Research output: Contribution to conferencePaper

Abstract

Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used to design a controller for a sampled-data system.
Original languageEnglish
Pages2292-2297
DOIs
Publication statusPublished - 10 Mar 2003
EventIEEE Conference on Decision and Control - Nevada, Las Vegas, United States
Duration: 10 Dec 200213 Dec 2002

Conference

ConferenceIEEE Conference on Decision and Control
CountryUnited States
CityLas Vegas
Period10/12/0213/12/02

Bibliographical note

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Keywords

  • Lyapunov method
  • Nonlinear control systems
  • Feedback
  • Robust stability
  • Discrete time systems
  • Stability analysis
  • Robust control
  • Control system analysis
  • Control systems
  • Interconnected systems
  • feedback
  • nonlinear control systems
  • discrete time systems
  • interconnected systems
  • stability
  • Lyapunov methods
  • discrete-time systems
  • sampled-data system
  • input-to-state stability
  • small gain condition
  • feedback interconnection

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    Laila, D. S., & Nesic, D. (2003). Lyapunov based small-gain theorem for parameterized discrete-time interconnected ISS systems. 2292-2297. Paper presented at IEEE Conference on Decision and Control, Las Vegas, United States. https://doi.org/10.1109/CDC.2002.1184874